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(4p-7)^1/2=5 solve for the given variable

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(4p - 7)^{(1)/(2)} = 5

√(4p-7) = 5

( √(4p-7) )^(2) = 5^(2)

4p - 7 = 25

4p = 25 + 7 \\ 4p = 32 \\ p = 32/4 \\ p = 8

Hope this helps! :)
User Billy Boyo
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